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unit circle
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Mr. Norris
Algebra II
Unit circle worksheet
1. Converting from degress to radians (subtract 360 until angle is between 0 to359, then multiple by
0 = _____ 30 = _____ 45 = _____ 60 = _____
90 = _____ 120 = _____ 135 = _____ 150 = _____
180 = _____ 210 = _____ 225 = _____ 240 = _____
270 = _____ 300 = _____ 315 = _____ 330 = _____
450 = _____ 840 = _____ 1215 = _____ 960 = _____ 1800 = _____
Fill in answers for 0 330 into the unit circle section .
2.. Special Triangles
1
Name ___________________
Date _____________________
Period _______
_____
_
60
30
60
30
_____
_
_____
_
_____
_
_____
_
_____
45
45
_____
_
_____
_
_____
45
45
_____
_
_____
_
For unit
circle
For unit
circle
3. Fill in the coordinates for each point on the unit circle using special triangles
Sin 0 = ------ Sin 30 = ------- Sin 45 = ---------- Sin 60 = --------
Cos 0 = ------ Cos 30 = ------- Cos 45 = ---------- Cos 60 = --------
Tan 0 = ------ Tan 30 = ------- Tan 45 = ---------- Tan 60 = --------
Sin 90 = ------ Sin 120 = ------- Sin 135 = ---------- Sin 150 = --------
Cos 90 = ------ Cos 120 = ------- Cos 135 = ---------- Cos 150 = --------
Tan 90 = ------ Tan 120 = ------- Tan 135 = ---------- Tan 150 = --------
0
(____, ____)
30
(____, ____)
45
(____, ____)
60
(____, ____)
90
(____, ____)
120
(____, ____)
135
(____, ____)
150
(____, ____)
Sin 180 = ------ Sin 210 = ------- Sin 225 = ---------- Sin 240 = --------
Cos 180 = ------ Cos 210 = ------- Cos 225 = ---------- Cos 240 = --------
Tan 180 = ------ Tan 210 = ------- Tan 225 = ---------- Tan 240 = --------
Sin 270 = ------ Sin 300 = ------- Sin 315 = ---------- Sin 330 = --------
Cos 270 = ------ Cos 300 = ------- Cos 315 = ---------- Cos 330 = --------
Tan 270 = ------ Tan 300 = ------- Tan 315 = ---------- Tan 330 = --------
180
(____, ____)
210
(____, ____)
225
(____, ____)
240
(____, ____)
270
(____, ____)
300
(____, ____)
315
(____, ____)
350
(____, ____)
4. Fill in the unit circle information
360 = 0 = _____
(cos 0, sin 0)
(____,_____)
30 = _____
(cos 30, sin 30)
(____,_____)
60 = _____
(cos 60, sin 60)
(____,_____)
45 = _____
(cos 45, sin 45)
(____,_____)
90 = _____
(cos 90, sin 90)
(____,_____)
120 = _____
(cos 120, sin 120)
(____,_____)
135 = _____
(cos 135, sin 135)
(____,_____)
150 = _____
(cos 150, sin 150)
(____,_____)
180 = _____
(cos 180, sin 180)
(____,_____)
210 = _____
(cos 210, sin 210)
(____,_____)
225 = _____
(cos 225, sin 22)5
(____,_____)
240 = _____
(cos 240, sin 240)
(____,_____)
270 = _____
(cos 270, sin 270)
(____,_____)
300 = _____
(cos 300, sin 300)
(____,_____)
315 = _____
(cos 315, sin 315)
(____,_____)
330 = _____
(cos 330, sin 330)
(____,_____)
5. Graphing sine, cosine and tangent ( using the data from number 3) Pattern repeats every 2 in each direction
Sine
1
-2
-
0
2
3
4
5
-1
cosine
1
-2
-
0
2
3
4
5
-1
tangen
1
-2
-
0
2
3
4
5
-1
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